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非线性微分系统的Poincare映射与周期解
POINCARE MAPPING AND PERIODIC SOLUTION FOR THE NONLINEAR DIFFERENTIAL SYSTEM
查看参考文献12篇
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文摘
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采用一种新方法-反射函数法,建立了非线性非自治微分系统的Poincare映射,给出了这些微分系统周期解存在及稳定的充要条件. |
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其他语种文摘
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In this paper, we use a quite new method-reflective function, establish Poincare mapping for the nonautonomous nonlinear systems, and set up the necessary and sufficient conditions of existence of the periodic solution and stability for these systems. |
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来源
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系统科学与数学
,2006,26(1):59-68 【核心库】
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关键词
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非自治微分系统
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反射函数
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Poincare映射
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周期解
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地址
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1.
扬州大学数学学院, 扬州, 225002
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中国科学院数学与系统科学研究院, 北京, 100080
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语种
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中文 |
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文献类型
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研究性论文 |
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ISSN
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1000-0577 |
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学科
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数学 |
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基金
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国家自然科学基金
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江苏省教育厅自然科学基金
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文献收藏号
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CSCD:2347817
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参考文献 共
12
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